Find the Distance Between Two Points (1,2) and (-8,-2)

$(1, 2)$ and $(- 8, - 2)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{((- 8) - 1)}^{2} + {((- 2) - 2)}^{2}}$

Simplify.

Subtract $1$ from $- 8$ .

$\sqrt{{(- 9)}^{2} + {((- 2) - 2)}^{2}}$

Raise $- 9$ to the power of $2$ .

$\sqrt{81 + {((- 2) - 2)}^{2}}$

Subtract $2$ from $- 2$ .

$\sqrt{81 + {(- 4)}^{2}}$

Raise $- 4$ to the power of $2$ .

$\sqrt{81 + 16}$

Add $81$ and $16$ .

$\sqrt{97}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{97}$

Decimal Form:

$9.84885780 \dots$